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Finding the Fourth Proportional to 15,270, 22,902.30 and 6,948.06

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Solution

The fourth proportional to 15,270, 22,902.30 and 6,948.06 is: 10,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270 : 22,902.30 = 6,948.06 : x
  2. Step 2: Convert to fraction form
    15,270/22,902.30 = 6,948.06/x
  3. Step 3: Cross multiply
    15,270x = 22,902.30 × 6,948.06
  4. Step 4: Simplify right side
    15,270x = 159,126,554.54
  5. Step 5: Solve for x
    x = 159,126,554.54/15,270
  6. Step 6: Final answer
    x = 10,420.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.